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Finding the Third Proportional to 429,164 and 923,776

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Solution

The third proportional to 429,164 and 923,776 is: 1,988,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,164 : 923,776 = 923,776 : x
  2. Step 2: Convert to fraction form
    429,164/923,776 = 923,776/x
  3. Step 3: Cross multiply
    429,164x = 923,776 × 923,776
  4. Step 4: Simplify right side
    429,164x = 853,362,098,176
  5. Step 5: Solve for x
    x = 853,362,098,176/429,164
  6. Step 6: Final answer
    x = 1,988,428.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.